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Finding the Fourth Proportional to 74,475, 102,775.50 and 40,941

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Solution

The fourth proportional to 74,475, 102,775.50 and 40,941 is: 56,498.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,475 : 102,775.50 = 40,941 : x
  2. Step 2: Convert to fraction form
    74,475/102,775.50 = 40,941/x
  3. Step 3: Cross multiply
    74,475x = 102,775.50 × 40,941
  4. Step 4: Simplify right side
    74,475x = 4,207,731,745.50
  5. Step 5: Solve for x
    x = 4,207,731,745.50/74,475
  6. Step 6: Final answer
    x = 56,498.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.